Abstract

Topological insulators (TIs) have a bulk bandgap and gapless edge or surface states that host helically spin-polarized Dirac fermions. Theoretically, it has been predicted that gapless states could also be formed along dislocations in TIs. Recently, conductivity measurements on plastically deformed bismuth antimony (Bi1−xSbx) TIs have revealed excess conductivity owing to dislocation conduction. For further application of them, fundamental study on dislocations in TIs is indispensable. Dislocations controlled based on fundamental studies could potentially be useful not only for experimental investigations of the dislocation properties but also for diverse device applications. In the present study, Bi1−xSbx TI single crystals were fabricated by a zone-melting method. The crystals were plastically deformed at room temperature. The resultant dislocations were observed by transmission electron microscopy (TEM). It was found that high-density dislocations with the Burgers vector satisfying the condition for the formation of gapless states were successfully introduced. The dislocations were mostly of edge type with lengths on the order of more than a few micrometers.

Highlights

  • Topological insulators (TIs) are characterized by a bulk bandgap and necessarily highly conducting gapless edge or surface states that host helically spin-polarized Dirac fermions [1,2]. These gapless states are protected by time reversal symmetry

  • The first invariant, ν0, defines strong or weak TIs, where ν0 = 1 corresponds to strong TI (STI) and ν0 = 0 corresponds to weak TI (WTI)

  • The crystals were plastically deformed at room temperature

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Summary

Introduction

Topological insulators (TIs) are characterized by a bulk bandgap and necessarily highly conducting gapless edge or surface states that host helically spin-polarized Dirac fermions [1,2]. These gapless states are protected by time reversal symmetry. It has been theoretically shown that gapless states could be formed along dislocations in 3D TIs satisfying the following condition [3]: b·M = π (mod 2π), M = 2 The first invariant, ν0 , defines strong or weak TIs, where ν0 = 1 corresponds to strong TI (STI) and ν0 = 0 corresponds to weak TI (WTI). When the condition in Crystals 2019, 9, 317; doi:10.3390/cryst9060317 www.mdpi.com/journal/crystals

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